All Problems Electric Current
Problem 3.189
What amount of heat will be generated in a coil of resistance \(R\) due to a charge \(q\) passing through it if the current in the coil (a) decreases down to zero uniformly during a time interval \(\Delta t\); (b) decreases down to zero halving its value every \(\Delta t\) seconds?
(a) \(Q=4 / 3 q^{2} R / \Delta t\) (b) \(Q=1 / 2 \ln 2 \cdot q^{2} R / \Delta t\)